Question

The adjacent angles of a parallelogram are in the ratio 3:5. find the measure of all its angles

Answer 1

let the angles be 3x and 5x respectively
3x+5x=180. .........corresponding angles
8x=180
x=22.5
therefore 3x=67.5 and 5x=112.5
therefore all angles are 67.5,112.5.67.5,112.5
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Answer 2

Answer:

Given: 2 adjacent angles of a parallelogram are in ratio 3:5

To find: All the angles of the parallelogram

Step-by-step explanation:

Let the llgm be ABCD (llgm is the short form of parallelogram)

<A = 3x <B = 5x

<C=<A=3x (Vertically opposite angles are equal)

<D=<B=5x (Vertically opposite angles are equal)

<A+<B+<C+<D=360 (Angles Sum Property of a quadilateral)

3x+5x+3x+5x=360

16x = 360

x = 360/16 = 22.5

5 x 22.5=112.5, 3 x 22.5= 67.5

Hope it helps you!